By Jr, Waldyr A. Rodrigues, Edmundo Capelas de Oliveira

ISBN-10: 3540371737

ISBN-13: 9783540371731

This ebook is an exposition of the algebra and calculus of differential

forms, of the Clifford and Spin-Clifford package deal formalisms, and of vistas to a

formulation of vital innovations of differential geometry quintessential for an

in-depth realizing of space-time physics.

The formalism discloses the hidden geometrical nature of spinor fields.

Maxwell, Dirac and Einstein fields are proven to have representatives via objects

of an identical mathematical nature, particularly sections of an acceptable Clifford

bundle. This process unearths team spirit in range and indicates relationships

that are hidden within the ordinary formalisms and opens new paths for research.

This completely revised moment version additionally provides 3 new chapters: at the Clifford

bundle method of the Riemannian or semi-Riemannian differential geometry of

branes; on Komar currents within the context of the final Relativity thought; and

an research of the similarities and major alterations among Dirac, Majorana

and ELKO spinor fields.

The routines with suggestions, the

comprehensive record of mathematical symbols, and the checklist of acronyms and

abbreviations are supplied for self-study for college kids in addition to for classes.

From the reports of the first

edition:

“The textual content is written in a very

readable demeanour and is complemented with lots of worked-out routines which

are within the form of prolonged examples. ... their ebook function a

textbook for graduate scholars in physics or mathematics." (Alberto

Molgado, Mathematical reports, 2008 k)